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Finding the Fourth Proportional to 252.28, 378.28 and 105.86

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Solution

The fourth proportional to 252.28, 378.28 and 105.86 is: 158.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.28 : 378.28 = 105.86 : x
  2. Step 2: Convert to fraction form
    252.28/378.28 = 105.86/x
  3. Step 3: Cross multiply
    252.28x = 378.28 × 105.86
  4. Step 4: Simplify right side
    252.28x = 40,044.72
  5. Step 5: Solve for x
    x = 40,044.72/252.28
  6. Step 6: Final answer
    x = 158.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.